Solid, mathematically rigorous introduction covers diagonalizations and triangularizations of Hermitian and non-Hermitian matrices, the matrix theorem of Jordan, variational principles and perturbation theory of matrices, matrix numerical analysis, in-depth analysis of linear computations, more. Only elementary algebra and calculus. Problem-solving exercises. 1968 edition.
Elementary Matrix Theory by Howard Eves Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required.
A Survey of Matrix Theory and Matrix Inequalities by Marvin Marcus, Henryk Minc Concise yet comprehensive survey covers broad range of topics: convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, much more. Undergraduate-level. 1969 edition. Bibliography.
Applications of the Theory of Matrices by F. R. Gantmacher This text surveys complex symmetric, antisymmetric, and orthogonal matrices; singular bundles of matrices; matrices with nonnegative elements; applications of matrix theory to linear differential equations; and the Routh-Hurwitz problem. 1959 edition.
Matrix Vector Analysis by Richard L. Eisenman This outstanding text and reference for upper-level undergraduates features extensive problems and solutions in its application of matrix ideas to vector methods for a synthesis of pure and applied mathematics. 1963 edition. Includes 121 figures.
An Introduction to the Theory of Canonical Matrices by H. W. Turnbull, A. C. Aitken Thorough and self-contained, this penetrating study of the theory of canonical matrices presents a detailed consideration of all the theory’s principal features. Topics include elementary transformations and bilinear and quadratic forms; canonical reduction of equivalen...
